scholarly journals Hardy Spaces and Oscillatory Singular Integrals

1991 ◽  
pp. 55-64 ◽  
Author(s):  
Yibiao Pan
Keyword(s):  
Hardy Spaces ◽  
Singular Integrals ◽  
Oscillatory Singular Integrals

Oscillatory singular integral operators with Hölder class kernels on Hardy spaces

2019 ◽  
Vol 31 (2) ◽  
pp. 535-542
Author(s):  
Yibiao Pan
Keyword(s):  
Singular Integral ◽  
Hardy Spaces ◽  
Singular Integrals ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Oscillatory Singular Integral ◽  
Hölder Class ◽  
Holder Class ◽  
Oscillatory Singular Integrals

AbstractA sharp logarithmic bound is established for the {H^{1}}-norm of oscillatory singular integrals with quadratic phases and Hölder class kernels. Prior results had relied on a {C^{1}}-assumption on the kernel.

Sharp bounds for oscillatory singular integrals on Hardy spaces

2017 ◽  
Vol 238 (2) ◽  
pp. 121-132
Author(s):  
Hussain Al-Qassem ◽  
Leslie Cheng ◽  
Yibiao Pan
Keyword(s):  
Hardy Spaces ◽  
Singular Integrals ◽  
Sharp Bounds ◽  
Oscillatory Singular Integrals

scholarly journals Logarithmic Bounds for Oscillatory Singular Integrals on Hardy Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-5
Author(s):  
Hussain Al-Qassem ◽  
Leslie Cheng ◽  
Yibiao Pan
Keyword(s):  
Hardy Space ◽  
Hardy Spaces ◽  
Singular Integrals ◽  
Rate Of Growth ◽  
Oscillatory Singular Integrals

We establish a logarithmic bound for oscillatory singular integrals with quadratic phases on the Hardy spaceH1(Rn). The logarithmic rate of growth is the best possible.

Estimates for oscillatory singular integrals on Hardy spaces

2014 ◽  
Vol 224 (3) ◽  
pp. 277-289 ◽  
Author(s):  
Hussain Al-Qassem ◽  
Leslie Cheng ◽  
Yibiao Pan
Keyword(s):  
Hardy Spaces ◽  
Singular Integrals ◽  
Oscillatory Singular Integrals
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